Civil Engineering Reference
In-Depth Information
D
L
/(4
h
)cos ϕ
D
B
[(
L
-
a
D
)/
L
]sin ϕ
D
[
a
D
/
L
]sin
ϕ
D
Influence line for
F
D
A
C
FIGURE 5.13
Influence line for axial force at location D in three-hinged arch rib.
5.2.1.2.3.2 Maximum Bending Moment, Shear Force, and Axial Force [with
Loads Applied to the Arch by Transverse Members (Spandrel Columns
or Walls)]
Medium- and long-span steel railway bridges can be economically
constructed of three-hinged arches with the arch rib loaded by spandrel members
(Figure 5.14)
.
Influence lines for arch spans with spandrel columns or vertical posts
P
=1
E
a
D
C
D
ϕ
D
h
h
D
H
B
H
A
B
A
x
P
L
R
B
R
A
1
Influence line for
R
A
L
/(5
h
)
Influence line for
H
A
FIGURE 5.14
Three-hinged arch rib with concentrated moving loads applied to the rib at
transverse members (e.g., spandrel columns).